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Orthogonal Trajectories01:26

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Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...
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Forgetting is a complex cognitive phenomenon influenced by several factors, among which interference and decay are particularly prominent. These processes explain why individuals often struggle to retrieve specific information from memory, leading to lapses in recall that can be observed in everyday situations.
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Unraveling LoRA Interference: Orthogonal Subspaces for Robust Model Merging.

Haobo Zhang1, Jiayu Zhou1

  • 1University of Michigan, Ann Arbor, USA.

Proceedings of the Conference. Association for Computational Linguistics. Meeting
|February 11, 2026
PubMed
Summary
This summary is machine-generated.

We introduce Orthogonal Subspaces for Robust model Merging (OSRM) to effectively merge multiple low-rank adaptation (LoRA) models. OSRM prevents task interference, improving performance and preserving accuracy for robust model merging.

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Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Natural Language Processing

Background:

  • Fine-tuning large language models (LMs) for specific tasks improves performance but incurs high deployment and storage costs.
  • Model merging aims to combine multiple task-specific models into a single multi-task model without retraining.
  • Existing merging techniques struggle with models fine-tuned using low-rank adaptation (LoRA), often leading to performance degradation.

Purpose of the Study:

  • To address the performance degradation issues when merging LoRA-fine-tuned models.
  • To propose a novel method that enables robust merging of LoRA models by considering the interplay between model parameters and data distributions.
  • To enhance the efficiency and effectiveness of creating multi-task models from individual task-specific models.

Main Methods:

  • Proposed Orthogonal Subspaces for Robust model Merging (OSRM) to constrain the LoRA subspace before fine-tuning.
  • Ensured that task-specific updates do not negatively impact other tasks.
  • Integrated OSRM with existing merging algorithms to minimize interference between tasks.

Main Results:

  • OSRM significantly boosts the performance of merged models compared to existing methods.
  • The proposed method successfully preserves single-task accuracy after merging.
  • Experiments across various datasets and LMs demonstrated OSRM's effectiveness and robustness to merging hyperparameters.
  • OSRM showed improved robustness to merging hyperparameters.

Conclusions:

  • The interplay between data and parameters is crucial for effective model merging, especially with LoRA.
  • OSRM offers a plug-and-play solution for merging LoRA-fine-tuned models, enhancing multi-task learning capabilities.
  • The method provides a practical approach to reduce deployment costs while maintaining high performance across multiple tasks.